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Solving coupled Dyson-Schwinger equations on a compact manifold
Authors:C.S. Fischer,B. Grü  ter
Affiliation:a Institute for Particle Physics Phenomenology, University of Durham, Durham DH1 3LE, UK
b Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
c Institute of Physics, Graz University, Universitätsplatz 5, A-8010 Graz, Austria
Abstract:We present results for the gluon and ghost propagators in SU (N) Yang-Mills theory on a four-torus at zero and non-zero temperatures from a truncated set of Dyson-Schwinger equations. When compared to continuum solutions at zero temperature sizeable modifications due to the finite volume of the manifold, especially in the infrared, are found. Effects due to non-vanishing temperatures T, on the other hand, are minute for T < 250 MeV.
Keywords:11.10.Wx   12.38.Aw   14.70.Dj
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